#region License
// Copyright 2007-2008 Rory Plaire (codekaizen@gmail.com)
/*
 * This license governs use of the accompanying software. If you use the software, you
 * accept this license. If you do not accept the license, do not use the software.
 * 
 * 1. Definitions
 * The terms "reproduce," "reproduction," "derivative works," and "distribution" have the
 * same meaning here as under U.S. copyright law.
 * A "contribution" is the original software, or any additions or changes to the software.
 * A "contributor" is any person that distributes its contribution under this license.
 * "Licensed patents" are a contributor's patent claims that read directly on its contribution.
 * 
 * 2. Grant of Rights
 * (A) Copyright Grant- Subject to the terms of this license, including the license conditions 
 *     and limitations in section 3, each contributor grants you a non-exclusive, worldwide, 
 *     royalty-free copyright license to reproduce its contribution, prepare derivative works 
 *     of its contribution, and distribute its contribution or any derivative works that you create.
 * (B) Patent Grant- Subject to the terms of this license, including the license conditions and 
 *     limitations in section 3, each contributor grants you a non-exclusive, worldwide, royalty-free 
 *     license under its licensed patents to make, have made, use, sell, offer for sale, import, 
 *     and/or otherwise dispose of its contribution in the software or derivative works of the 
 *     contribution in the software.
 * 
 * 3. Conditions and Limitations
 * (A) No Trademark License- This license does not grant you rights to use any contributors' 
 *     name, logo, or trademarks.
 * (B) If you bring a patent claim against any contributor over patents that you claim are 
 *     infringed by the software, your patent license from such contributor to the software 
 *     ends automatically.
 * (C) If you distribute any portion of the software, you must retain all copyright, patent, 
 *     trademark, and attribution notices that are present in the software.
 * (D) If you distribute any portion of the software in source code form, you may do so only under 
 *     this license by including a complete copy of this license with your distribution. If you 
 *     distribute any portion of the software in compiled or object code form, you may only do so 
 *     under a license that complies with this license.
 * (E) The software is licensed "as-is." You bear the risk of using it. The contributors give no 
 *     express warranties, guarantees or conditions. You may have additional consumer rights under 
 *     your local laws which this license cannot change. To the extent permitted under your local laws, 
 *     the contributors exclude the implied warranties of merchantability, fitness for a particular 
 *     purpose and non-infringement.
 * 
 */
#endregion

// Based initially on JAMA : A Java Matrix Package by 
// National Institute of Standards and Technology (NIST) 
// and The MathWorks, a public-domain work.

using System;
using NPack.Numeric;
using NPack.Numeric.Interfaces;

namespace NPack
{
    internal static class Utility
    {
        internal static Double Hypotenuse<T>(T a, T b)
        //where T : IEquatable<T>, IComparable<T>, IComputable<T>, IConvertible
        {
            if (((Real<T>)a).Abs() > ((Real<T>)b).Abs())
            {
                T r = (Real<T>)b / a;
                return Convert.ToDouble((((Real<T>)a).Abs() * ((Real<T>)r * r) + (((Real<T>)b).One)).Sqrt());
            }

            if (!b.Equals(((Real<T>)b).Zero))
            {
                T r = (Real<T>)a / b;
                return Convert.ToDouble((((Real<T>)b).Abs() * ((Real<T>)r * r) + ((Real<T>)b).One).Sqrt());
            }

            return 0;
        }

        internal static T Max<T>(T value1, T value2)
            //where T : IEquatable<T>, IComparable<T>, IComputable<T>, IConvertible
        {
            if ((Real<T>)value1 == (Real<T>)value2)
                return value1;

            if ((Real<T>)value1 > (Real<T>)value2)
                return value1;
            return value2;
        }
    }
}